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34129062 = 23211971777
BaseRepresentation
bin1000001000110…
…0010010100110
32101012221021100
42002030102212
532214112222
63215300530
7563043432
oct202142246
971187240
1034129062
11182a0740
12b51a746
1370bc516
1447659c2
152ee24ac
hex208c4a6

34129062 has 48 divisors (see below), whose sum is σ = 81546192. Its totient is φ = 10229760.

The previous prime is 34129031. The next prime is 34129169. The reversal of 34129062 is 26092143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18318 + ... + 20094.

It is an arithmetic number, because the mean of its divisors is an integer number (1698879).

Almost surely, 234129062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34129062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40773096).

34129062 is an abundant number, since it is smaller than the sum of its proper divisors (47417130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34129062 is a wasteful number, since it uses less digits than its factorization.

34129062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34129062 is about 5842.0083875325. The cubic root of 34129062 is about 324.3705750786.

It can be divided in two parts, 341 and 29062, that added together give a triangular number (29403 = T242).

The spelling of 34129062 in words is "thirty-four million, one hundred twenty-nine thousand, sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 291 582 873 1067 1746 1777 2134 3201 3554 5331 6402 9603 10662 15993 19206 19547 31986 39094 58641 117282 172369 175923 344738 351846 517107 1034214 1551321 1896059 3102642 3792118 5688177 11376354 17064531 34129062